10103313132049 has 2 divisors, whose sum is σ = 10103313132050. Its totient is φ = 10103313132048.

The previous prime is 10103313131959. The next prime is 10103313132053. The reversal of 10103313132049 is 94023131330101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9811885906449 + 291427225600 = 3132393^2 + 539840^2 .

It is a cyclic number.

It is not a de Polignac number, because 10103313132049 - 2¹⁵ = 10103313099281 is a prime.

It is a super-2 number, since 2×10103313132049² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10103313132049.

It is not a weakly prime, because it can be changed into another prime (10103313132949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051656566024 + 5051656566025.

It is an arithmetic number, because the mean of its divisors is an integer number (5051656566025).

Almost surely, 2^{10103313132049} is an apocalyptic number.

It is an amenable number.

10103313132049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103313132049 is an equidigital number, since it uses as much as digits as its factorization.

10103313132049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 10103313132049 in words is "ten trillion, one hundred three billion, three hundred thirteen million, one hundred thirty-two thousand, forty-nine".